Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42301	Write as a Single Logarithm	2( log base 2 of (x-1)^3+7 log base 2 of (x+4)^5)	$2 (\log_{2} ({(x - 1)}^{3}) + 7 \log_{2} ({(x + 4)}^{5}))$
42302	Write in Standard Form	1+ square root of 3i	$1 + \sqrt{3 i}$
42303	Write in Standard Form	4-4i	$4 - 4 i$
42304	Write in Standard Form	5-5i	$5 - 5 i$
42305	Write in Standard Form	(1-i)^9	${(1 - i)}^{9}$
42306	Write in Standard Form	(0,-4)	$(0, - 4)$
42307	Write in Standard Form	(-1/2-( square root of 3)/2i)^10	${(- \frac{1}{2} - \frac{\sqrt{3}}{2} i)}^{10}$
42308	Convert to a Simplified Fraction	square root of 63	$\sqrt{63}$
42309	Solve by Factoring	e^(2x)-14e^x+13=0	$e^{2 x} - 14 e^{x} + 13 = 0$
42310	Find the Derivative - d/d@VAR	f(x) = fifth root of x^6	$f (x) = \sqrt[5]{x^{6}}$
42311	Find the Derivative - d/d@VAR	f(x)=3x+2	$f (x) = 3 x + 2$
42312	Find the Degree	theta=(29pi)/6	$θ = \frac{29 π}{6}$
42313	Find the Degree	tan(theta)=-( square root of 3)/3	$\tan (θ) = - \frac{\sqrt{3}}{3}$
42314	Find the Difference Quotient	f(x)=9x^2	$f (x) = 9 x^{2}$
42315	Find the Difference Quotient	f(x)=6x^2	$f (x) = 6 x^{2}$
42316	Convert to Logarithmic Form	6^(2x)=3.6	$6^{2 x} = 3.6$
42317	Find the Asymptotes	e^(-x)	$e^{- x}$
42318	Find the Asymptotes	(x^3-27)/(x^2-8x+15)	$\frac{x^{3} - 27}{x^{2} - 8 x + 15}$
42319	Find the Asymptotes	(9x^2+37x+41)/(3x+5)	$\frac{9 x^{2} + 37 x + 41}{3 x + 5}$
42320	Find the Asymptotes	(x^2+x-56)/(x^2-x-42)	$\frac{x^{2} + x - 56}{x^{2} - x - 42}$
42321	Find the Asymptotes	1/((x-10)^2)	$\frac{1}{{(x - 10)}^{2}}$
42322	Find the Equation Given the Roots	3 , -4 , 7	$3$ , $- 4$ , $7$
42323	Solve for a	(sin(27))/a=(sin(115))/15	$\frac{\sin (27)}{a} = \frac{\sin (115)}{15}$
42324	Solve for a	27^(-a)*81^a=243^(3a+3)	$27^{- a} \cdot 81^{a} = 243^{3 a + 3}$
42325	Solve for b	(2pi)/b=0.2	$\frac{2 π}{b} = 0.2$
42326	Solve for a	a = square root of a	$a = \sqrt{a}$
42327	Solve for a	a^2-2a-8=0	$a^{2} - 2 a - 8 = 0$
42328	Solve for n	5n^2+4n+4=0	$5 n^{2} + 4 n + 4 = 0$
42329	Solve for n	6^(2n-2)=6^3	$6^{2 n - 2} = 6^{3}$
42330	Solve for r	r^2=4sin(2theta)	$r^{2} = 4 \sin (2 θ)$
42331	Solve for p	p=(1,pi/3)	$p = (1, \frac{π}{3})$
42332	Solve for p	p=(7,pi/3)	$p = (7, \frac{π}{3})$
42333	Solve for t	(7t+4)(3t-9)=0	$(7 t + 4) (3 t - 9) = 0$
42334	Solve for t	( natural log of 1/2)/-0.028=t	$\frac{\ln (\frac{1}{2})}{- 0.028} = t$
42335	Solve for t	0.25(t)=t/(3t^2+1)	$0.25 (t) = \frac{t}{3 t^{2} + 1}$
42336	Solve for k	square root of 2k+40 = square root of -16-2k	$\sqrt{2 k + 40} = \sqrt{- 16 - 2 k}$
42337	Solve for n	square root of 2n-7=-2- square root of 9-n	$\sqrt{2 n - 7} = - 2 - \sqrt{9 - n}$
42338	Solve for m	m = square root of 5m	$m = \sqrt{5 m}$
42339	Solve for b	7^2+b^2=25^2	$7^{2} + b^{2} = 25^{2}$
42340	Solve for b	-2=7/6(4)+b	$- 2 = \frac{7}{6} (4) + b$
42341	Solve for c	x^2+8x+c=0	$x^{2} + 8 x + c = 0$
42342	Solve for h	h(t)=12t^2-6t+50	$h (t) = 12 t^{2} - 6 t + 50$
42343	Solve for y	log base 3 of 1=y	$\log_{3} (1) = y$
42344	Solve for t	x=1/2t+3	$x = \frac{1}{2} t + 3$
42345	Solve for t	cos(t)=( square root of 3)/2	$\cos (t) = \frac{\sqrt{3}}{2}$
42346	Solve for v	3v^2+v+3=0	$3 v^{2} + v + 3 = 0$
42347	Describe the Transformation	y=(x-14)^2-9	$y = {(x - 14)}^{2} - 9$
42348	Determine if f is the Inverse Function of g	f=((8,9),(7,1),(4,3)) , g=((9,8),(1,7),(3,4))	$f = ((8, 9), (7, 1), (4, 3))$ , $g = ((9, 8), (1, 7), (3, 4))$
42349	Solve for z	z^3=27	$z^{3} = 27$
42350	Solve for z	(z^3*2z^2)/(z^2+7z-18)=(-12z-27)/(z+9)	$\frac{z^{3} \cdot 2 z^{2}}{z^{2} + 7 z - 18} = \frac{- 12 z - 27}{z + 9}$
42351	Find the Degree	x^5y^2+7x^3y^7-3x^2y^4	$x^{5} y^{2} + 7 x^{3} y^{7} - 3 x^{2} y^{4}$
42352	Find Amplitude, Period, and Phase Shift	-1/3cos(pi/2-3x)	$- \frac{1}{3} \cos (\frac{π}{2} - 3 x)$
42353	Find the Asymptotes	f(x)=(7/8)^(x+5)-6	$f (x) = {(\frac{7}{8})}^{x + 5} - 6$
42354	Find the Asymptotes	f(x)=(5/8)^x	$f (x) = {(\frac{5}{8})}^{x}$
42355	Find the Asymptotes	f(x)=(-4x^2-2x+1)/(2x+3)	$f (x) = \frac{- 4 x^{2} - 2 x + 1}{2 x + 3}$
42356	Find the Asymptotes	f(x)=1/(x^2-16)	$f (x) = \frac{1}{x^{2} - 16}$
42357	Find the Asymptotes	f(x)=2/(x+3)	$f (x) = \frac{2}{x + 3}$
42358	Find the Asymptotes	f(x)=(-2x(x+2))/(3x^2-4x-7)	$f (x) = \frac{- 2 x (x + 2)}{3 x^{2} - 4 x - 7}$
42359	Find the Asymptotes	f(x)=(3x)/(x-3)	$f (x) = \frac{3 x}{x - 3}$
42360	Find the Asymptotes	f(x)=(x^2+x-6)/(-4x^2-16x-12)	$f (x) = \frac{x^{2} + x - 6}{- 4 x^{2} - 16 x - 12}$
42361	Find the Asymptotes	f(x)=3^x-4	$f (x) = 3^{x} - 4$
42362	Find the Asymptotes	g(x)=2^x+2	$g (x) = 2^{x} + 2$
42363	Find the Asymptotes	g(x)=3^x+2	$g (x) = 3^{x} + 2$
42364	Expand the Trigonometric Expression	10cos(x)^4	$10 \cos^{4} (x)$
42365	Find the Standard Form of the Parabola	x^2+12x-2y+22=0	$x^{2} + 12 x - 2 y + 22 = 0$
42366	Find the Standard Form of the Parabola	4y^2+32x-28y-15=0	$4 y^{2} + 32 x - 28 y - 15 = 0$
42367	Find the Standard Form of the Parabola	y^2-2x-10y+23=0	$y^{2} - 2 x - 10 y + 23 = 0$
42368	Find the Standard Form of the Parabola	y^2-6y-4x+5=0	$y^{2} - 6 y - 4 x + 5 = 0$
42369	Reduce the Fraction	(11pi)/6	$\frac{11 π}{6}$
42370	Find the Domain	f(x) = natural log of 20-x-x^2	$f (x) = \ln (20 - x - x^{2})$
42371	Find the Domain	f(x) = square root of 2x-8	$f (x) = \sqrt{2 x - 8}$
42372	Find the Domain	f(x)=x/(x^2+4)	$f (x) = \frac{x}{x^{2} + 4}$
42373	Find the Domain	f(x)=3/( square root of x-4)	$f (x) = \frac{3}{\sqrt{x - 4}}$
42374	Find the Domain	f(x)=3/(x^2-2x-35)	$f (x) = \frac{3}{x^{2} - 2 x - 35}$
42375	Find the Domain	f(x)=16/(13-x)	$f (x) = \frac{16}{13 - x}$
42376	Find the Domain	f(x)=( square root of x+6)/((x+7)(x-9))	$f (x) = \frac{\sqrt{x + 6}}{(x + 7) (x - 9)}$
42377	Find the Domain	f(x) = log base 2 of 2x-7	$f (x) = \log_{2} (2 x - 7)$
42378	Use the Rational Roots Test to Find All Possible Roots	x^5-x^4+3x^3+9x^2-x+5=0	$x^{5} - x^{4} + 3 x^{3} + 9 x^{2} - x + 5 = 0$
42379	Find All Complex Solutions	x^2=-i	$x^{2} = - i$
42380	Find All Complex Solutions	x^4-20x^2+64=0	$x^{4} - 20 x^{2} + 64 = 0$
42381	Find All Complex Solutions	2cos(theta)- square root of 2=0	$2 \cos (θ) - \sqrt{2} = 0$
42382	Convert Degrees, Minutes, Seconds to Decimal Degrees	165 degrees 37'44''	$165 ° 37' 44''$
42383	Convert to Degrees, Minutes, and Seconds	360.43 degrees	$360.43 °$
42384	Convert to Degrees, Minutes, and Seconds	99.37 degrees	$99.37 °$
42385	Solve by Graphing	x-2=x^2-4	$x - 2 = x^{2} - 4$
42386	Identify the Conic	31x^2+10 square root of 3xy+21y^2-144=0	$31 x^{2} + 10 \sqrt{3} x y + 21 y^{2} - 144 = 0$
42387	Identify the Conic	31x^2+10 square root of 3xy+21y^2-144=0	$31 x^{2} + 10 \sqrt{3 x y} + 21 y^{2} - 144 = 0$
42388	Identify the Conic	4x^2+8xy+4y^2+x+11y+10=0	$4 x^{2} + 8 x y + 4 y^{2} + x + 11 y + 10 = 0$
42389	Identify the Conic	x^2-4y^2-4x=0	$x^{2} - 4 y^{2} - 4 x = 0$
42390	Identify the Conic	x^2+y^2-4x=0	$x^{2} + y^{2} - 4 x = 0$
42391	Determine if True	cos(65 degrees ) = square root of (1+cos(130 degrees ))/2	$\cos (65 °) = \sqrt{\frac{1 + \cos (130 °)}{2}}$
42392	Find the x and y Intercepts	x^2-8x+16	$x^{2} - 8 x + 16$
42393	Find the x and y Intercepts	x^3-4x^2-4x+16	$x^{3} - 4 x^{2} - 4 x + 16$
42394	Find the Equation of the Circle	theta=pi/4	$θ = \frac{π}{4}$
42395	Find the Axis of Symmetry	y^2=16x	$y^{2} = 16 x$
42396	Find the Axis of Symmetry	y=2x^2+24x-18	$y = 2 x^{2} + 24 x - 18$
42397	Find the Vertex	f(x)=(x-2)^2-1	$f (x) = {(x - 2)}^{2} - 1$
42398	Find Amplitude, Period, and Phase Shift	f(x)=-2/3cos(pi/4+4x)	$f (x) = - \frac{2}{3} \cos (\frac{π}{4} + 4 x)$
42399	Find the Roots (Zeros)	\|x^2-64\|	$\| x^{2} - 64 \|$
42400	Find the Roots (Zeros)	25x^4+26x^3+51x^2+52x+2	$25 x^{4} + 26 x^{3} + 51 x^{2} + 52 x + 2$